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Finding the Fourth Proportional to 16,341.16, 24,514.18 and 7,576.96

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Solution

The fourth proportional to 16,341.16, 24,514.18 and 7,576.96 is: 11,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,341.16 : 24,514.18 = 7,576.96 : x
  2. Step 2: Convert to fraction form
    16,341.16/24,514.18 = 7,576.96/x
  3. Step 3: Cross multiply
    16,341.16x = 24,514.18 × 7,576.96
  4. Step 4: Simplify right side
    16,341.16x = 185,742,961.29
  5. Step 5: Solve for x
    x = 185,742,961.29/16,341.16
  6. Step 6: Final answer
    x = 11,366.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.